Question

If in triangle ABC, Ad is median AND AE perpendicular to BC then prove that

AB^2+AC^2=2AD^2+1/2BC^2

Answer 1

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in triangle ABC, AD is median 

then , BD = BC 

in triangles ABD and ADC

» AB² = AD² + BD²______( 1 )

» AC² = AD² + BC² _____(2)

› now add both the equations, ‹

» AB² + AC² = AD² + AD² + BD²+ BC²

» AB² + AC² = 2AD² + 2BD² [ since BD = BC]

» AB² + AC² = 2[AD² + BD²]

↪hence proved.↩



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Answer 2

Answer:

Hope it helps you

Step-by-step explanation: